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Finding the Third Proportional to 735,412 and 1,588,991

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Solution

The third proportional to 735,412 and 1,588,991 is: 3,433,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,412 : 1,588,991 = 1,588,991 : x
  2. Step 2: Convert to fraction form
    735,412/1,588,991 = 1,588,991/x
  3. Step 3: Cross multiply
    735,412x = 1,588,991 × 1,588,991
  4. Step 4: Simplify right side
    735,412x = 2,524,892,398,081
  5. Step 5: Solve for x
    x = 2,524,892,398,081/735,412
  6. Step 6: Final answer
    x = 3,433,303.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.